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I just picked up a recent technical book with paper pages and no
pushbuttons. The first few pages are called the PREFACE and the page
numbers therein are noted in lower case Roman numerals like iv, v, vi,
viii. Can LibreOffice do that? The first page would have to be i
because there is no zero.

Sure. Just modify the page style used on the preface, go to the "Page"
tab and under "Page layout" select the kind of page numbers you need
from the "Page numbers" drop down menu.